一类带积分边界条件的弹性梁微分方程边值问题正解的存在性和唯一性（英文）  

Existence and Uniqueness of Monotone Positive Solutions for an Elastic Beam Equation with Integral Boundary Conditions

作　　者：王莉萍[1] 周宗福[1] 

机构地区：[1]安徽大学数学科学学院,安徽合肥230601

出　　处：《应用数学》2014年第4期858-864,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Fundation of China(11071001);the Natural Science Fundation of Anhui Province(1208085MA13)

摘　　要：本文主要研究一类带积分边界条件的四阶弹性梁微分方程边值问题正解的存在性和唯一性,通过广义凹算子不动点定理获得边值问题正解的存在性和唯一性,最后给出一个例子.In this paper,a class of BVP for a fourth-order elastic beam equation with integral boundary conditions is concerned.By means of fixed point theorem of generalized concave operators,the results of existence and uniqueness of monotone positive solutions are obtained.One example is given to illustrate the results.

关 键 词：存在唯一性 单调正解 不动点定理 积分边界条件 弹性梁方程 

分 类 号：O175.8[理学—数学]